Characterizing a Teacher’s Ways of Thinking about Teaching the Idea of Sine Function
Page: 796
Over the past thirty years, researchers have developed constructs to investigate teachers’ knowledge base and how it relates to their teaching. These constructs include Mathematical Knowledge for Teaching (MKT), Mathematical Meanings for Teaching (MMT), and Key Pedagogical Understandings (KPUs). In this report, I describe each of these constructs, their uses, and how they are related. I then describe a recently introduced construct, Ways of thinking about Teaching an Idea (WTTI) (Carlson, Bas-Ader, O’Bryan, & Rocha, in press) and illustrate the usefulness of this construct for investigating a teacher’s mathematical understanding of sine function and how this understanding is related to the teacher’s instructional goals and actions.